The Food Marketing Institute shows that 18% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.18 and a sample of 800 households will be selected from the population. Use z-table. a. Calculate oơ(P), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals). b. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,600 households (to 4 decimals)?

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The Food Marketing Institute shows that 18% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.18 and a sample of 800 households will be selected
from the population. Use z-table.
a. Calculate 0(P), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
b. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion (to 4 decimals)?
c. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,600 households (to 4 decimals)?
Transcribed Image Text:The Food Marketing Institute shows that 18% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.18 and a sample of 800 households will be selected from the population. Use z-table. a. Calculate 0(P), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals). b. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,600 households (to 4 decimals)?
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5398
5040
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5120
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Transcribed Image Text:00 01 02 03 04 05 06 J07 O8 09 5000 5398 5040 S080 5120 5517 5910 3160 5557 3199 3596 5987 5239 5636 6026 5279 5675 3319 5714 6103 3359 5753 5438 5478 .2 5793 5832 5871 5948 6064 6141 6179 6217 6591 6255 6628 6293 6331 6700 6368 6406 6443 6808 6517 6879 6480 6554 6664 6736 6772 6844 6915 7257 7580 6950 7291 7611 6985 7324 7642 7939 8212 7019 7054 7389 7704 7995 8264 7088 7123 7454 7157 7486 7190 .7224 7549 7357 7673 7967 7422 7734 8023 8289 7517 7823 8106 7881 8159 7764 8051 7794 8078 7852 8133 8389 7910 8186 8238 8315 8340 8365 1.0 11 8413 8643 8438 8665 8461 8686 8485 8708 8S08 8729 8925 8531 8749 8554 8770 8577 8790 8599 8810 8997 8621 8830 12 1.3 8849 9032 9192 8907 .9082 9236 8869 8888 8944 8962 9131 9279 8980 9015 9066 9222 9049 9099 9115 9147 9292 9162 9177 1.4 9207 9251 9265 9306 9319 1.5 9332 9452 9357 9474 9345 9382 9495 9591 9370 9394 9406 9418 9525 9616 9429 9441 1.6 9463 9484 9505 9599 9515 9535 9545 1.7 9554 9641 9564 9573 9582 9608 9625 9633 .9706 .9767 1.8 .9649 .9719 9656 9664 9671 9678 9686 9693 9699 1.9 9713 9726 9732 9738 9744 9750 .9756 .9761 .9778 9826 2.0 2.1 2.2 2.3 2.4 9772 9783 9788 9834 9793 9838 9798 9803 9812 9808 .9850 .9817 9857 9821 9830 9842 9878 9846 9854 9861 9864 9868 9871 .9901 9925 9875 9904 9881 9884 .9887 .9890 9893 9918 .9896 .9898 9906 9909 .9911 9932 .9913 .9916 .9920 .9922 9927 9929 9931 9934 9936 9938 9953 9965 .9940 9955 .9943 .9957 2.5 9949 .9962 9972 .9979 .9941 9945 9946 9948 9951 9952 2.6 9956 9959 .9960 9961 9963 .9964 2.7 2.8 2.9 9966 9967 .9968 9969 9970 9971 .9973 9974 9974 9975 9976 .9977 9977 9978 9979 .9980 9981 9981 9982 9982 .9983 9984 9984 9985 9985 9986 .9986 30 9987 9987 9987 9988 9988 9989 9989 9989 .9990 9990
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